• 제목/요약/키워드: Recurrent

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SOME THEOREMS ON RECURRENT MANIFOLDS AND CONFORMALLY RECURRENT MANIFOLDS

  • Jaeman Kim
    • Korean Journal of Mathematics
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    • 제31권2호
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    • pp.139-144
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    • 2023
  • In this paper, we show that a recurrent manifold with harmonic curvature tensor is locally symmetric and that an Einstein and conformally recurrent manifold is locally symmetric. As a consequence, Einstein and recurrent manifolds must be locally symmetric. On the other hand, we have obtained some results for a (conformally) recurrent manifold with parallel vector field and also investigated some results for a (conformally) recurrent manifold with concircular vector field.

On Quasi-Conformally Recurrent Manifolds with Harmonic Quasi-Conformal Curvature Tensor

  • Shaikh, Absos Ali;Roy, Indranil
    • Kyungpook Mathematical Journal
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    • 제51권1호
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    • pp.109-124
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    • 2011
  • The main objective of the paper is to provide a full classification of quasi-conformally recurrent Riemannian manifolds with harmonic quasi-conformal curvature tensor. Among others it is shown that a quasi-conformally recurrent manifold with harmonic quasi-conformal curvature tensor is any one of the following: (i) quasi-conformally symmetric, (ii) conformally flat, (iii) manifold of constant curvature, (iv) vanishing scalar curvature, (v) Ricci recurrent.

부갑상선 선종 수술시 관찰된 비회귀성 반회후두신경 (Non-Recurrent Recurrent Laryngeal Nerve) 1례 (A Case of NRRL(Non-Recurrent Recurrent Laryngeal Nerve) in a Patient with the Parathyroid Adenoma)

  • 한수진;임재열;박헌이;최홍식
    • 대한후두음성언어의학회지
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    • 제11권2호
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    • pp.188-191
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    • 2000
  • In thyroid and parathyroid surgery, damage to the recurrent laryngeal nerve(RLN) is the most common iatrogenic cause of vocal cord paralysis. Identification and preservation of the BLNs and meticulous technique can siginificantly decrease the incidence of this complication. We experienced one case of NRRLN in a patient with the parathyroid adenoma. During the dissection, there was no branch to be considered as RLN in tracheoesophageal groove. While searching for the RLN, We found a white structure coursing horizontally at the level of cricoid cartilage directly arising from the vagus nerve in the carotid sheath. That structure was nonrecurrent recurrent laryngeal nerve(NRRLN) and NRRLNs are exceedingly rare. Awareness of the possibility of NRRLN will prevent the surgeon from accidentally severing one if it is encountered during surgery.

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Analysis of bivariate recurrent event data with zero inflation

  • Kim, Taeun;Kim, Yang-Jin
    • Communications for Statistical Applications and Methods
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    • 제27권1호
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    • pp.37-46
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    • 2020
  • Recurrent event data frequently occur in clinical studies, demography, engineering reliability and so on (Cook and Lawless, The Statistical Analysis of Recurrent Events, Springer, 2007). Sometimes, two or more different but related type of recurrent events may occur simultaneously. In this study, our interest is to estimate the covariate effect on bivariate recurrent event times with zero inflations. Such zero inflation can be related with susceptibility. In the context of bivariate recurrent event data, furthermore, such susceptibilities may be different according to the type of event. We propose a joint model including both two intensity functions and two cure rate functions. Bivariate frailty effects are adopted to model the correlation between recurrent events. Parameter estimates are obtained by maximizing the likelihood derived under a piecewise constant hazard assumption. According to simulation results, the proposed method brings unbiased estimates while the model ignoring cure rate models gives underestimated covariate effects and overestimated variance estimates. We apply the proposed method to a set of bivariate recurrent infection data in a study of child patients with leukemia.

영상처리를 위한 퍼지화된 대각형 Recurrent 신경망에 관한 연구 (A study on the fuzzified Diagonal Recurrent Neural Networks for the Image Processing)

  • 변오성;문성룡
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 1999년도 하계종합학술대회 논문집
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    • pp.478-481
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    • 1999
  • In this paper, we could analyze and compare with the generalized Recurrent neural networks and the Recurrent neural networks applying the fuzzy. The total system is digitalized in order to be filtering the image, and the fuzzy is applied to the generalized Recurrent in order to be fast the operation speed. So the fuzzified Recurrent neural networks are completely removed to the included noise in the image, and could converge on a certain value as controlling the weight and iteration frequency corresponding to the desired target value. Also, that values are compared and analysed using MSE and PSNR. When applying to the image which is included to the noise in the generalized Recurrent and the Recurrent applying the fuzzy, the Recurrent applying the fuzzy is shown the superiority at the noise and the fixed convergence part through MSE and PSNR in the computer simulations.

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RECURRENCE AND STABILITY OF POINTS IN DISCRETE FLOWS

  • KOO, KI-SHIK
    • Journal of applied mathematics & informatics
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    • 제37권3_4호
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    • pp.251-257
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    • 2019
  • We study the orbit behaviours of recurrent, uniformly recurrent and Poisson stable points. we give conditons that a point is to be recurrent or uniformly recurrent by analyzing the behaviours of their orbits. Also, we study dynamical properties of equicontinuous points and points of characteristic $0^+$.

Development and cross-sectional morphology of the recurrent laryngeal nerves in human fetuses

  • Maria Cecilia Baratela;William Paganini Mayer;Josemberg da Silva Baptista
    • Anatomy and Cell Biology
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    • 제57권3호
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    • pp.392-399
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    • 2024
  • The recurrent laryngeal nerve is a bilateral branch of the vagus nerve that is mainly associated with the motor innervation of the intrinsic muscles of the larynx. Despite its bilateral distribution, the right and left recurrent laryngeal nerves display unequal length due to embryological processes related to the development of the aortic arches. This length asymmetry leads to theories about morphological compensations to provide symmetrical functions to the intrinsic muscles of the larynx. In this study we investigated the developmental and cross-sectional morphometrics of the recurrent laryngeal nerves in human fetuses. Fifteen stillbirth fetuses donated to anatomical and medical research were used for investigation. Fetuses had intrauterine age ranging from 30 to 40 weeks estimated by biometry methods. Specialized anatomical dissection of the visceral block of the neck was performed to prepare histological samples of the recurrent laryngeal nerves in its point of contact with the larynx, and morpho-quantitative techniques were applied to evaluate the epineurium and perineural space of the recurrent laryngeal nerves. No statistical difference in the cross-sectional morphology of the epineurium and perineural space between right and left recurrent laryngeal nerves intra-individually was confirmed, however, we found evidence that these structures are under greater development in the left recurrent laryngeal nerve during 30 to 40 weeks of intrauterine life. Our data suggest that the nerves are under morphological development that possibly set the stage for accommodation of larger diameter and myelinization of the left recurrent laryngeal nerve during post-natal life.